Pith Number

pith:NGRX54HB

pith:2011:NGRX54HBJBHPNZTDXPQATISHPD

not attested not anchored not stored refs pending

Emergence of one- and two-cluster states in populations of globally pulse-coupled oscillators

Leonhard L\"ucken, Serhiy Yanchuk

arxiv:1101.4487 v2 · 2011-01-24 · nlin.AO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGRX54HBJBHPNZTDXPQATISHPD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:22:50.182690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a37ef0e1484ef6e663bbe009a24778e8c9a94ef0fa0fff316623d0bde1e449

Aliases

arxiv: 1101.4487 · arxiv_version: 1101.4487v2 · doi: 10.48550/arxiv.1101.4487 · pith_short_12: NGRX54HBJBHP · pith_short_16: NGRX54HBJBHPNZTD · pith_short_8: NGRX54HB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NGRX54HBJBHPNZTDXPQATISHPD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 69a37ef0e1484ef6e663bbe009a24778e8c9a94ef0fa0fff316623d0bde1e449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4521ac4c31cf4c39cb9724c26104ef5c2a0ad937dc75c84ad3e19f011b5319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2011-01-24T10:30:15Z",
    "title_canon_sha256": "35d52ff4776fe6e971db808c1525cbe34049fb9872a72474a10fca41123a269a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4487",
    "kind": "arxiv",
    "version": 2
  }
}